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Finding the Fourth Proportional to 209,823.58, 314,737.53 and 167,969.71

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Solution

The fourth proportional to 209,823.58, 314,737.53 and 167,969.71 is: 251,956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,823.58 : 314,737.53 = 167,969.71 : x
  2. Step 2: Convert to fraction form
    209,823.58/314,737.53 = 167,969.71/x
  3. Step 3: Cross multiply
    209,823.58x = 314,737.53 × 167,969.71
  4. Step 4: Simplify right side
    209,823.58x = 52,866,371,640.22
  5. Step 5: Solve for x
    x = 52,866,371,640.22/209,823.58
  6. Step 6: Final answer
    x = 251,956.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.